Apparatus, method and system for performing phase-resolved optical frequency domain imaging

ABSTRACT

Apparatus, system and method are provided which utilize signals received from a reference and a sample. In particular, a radiation is provided which includes at least one first electro-magnetic radiation directed to the sample and at least one second electro-magnetic radiation directed to the reference. A frequency of the radiation varies over time. An interference can be detected between at least one third radiation associated with the first radiation and at least one fourth radiation associated with the second radiation. It is possible to obtain a particular signal associated with at least one phase of at least one frequency component of the interference, and compare the particular signal to at least one particular information. Further, it is possible to receive at least one portion of the radiation and provide a further radiation, such that the particular signal can be calibrated based on the further signal.

CROSS-REFERENCE TO RELATED APPLICATION(S)

This application is based upon and claims the benefit of priority from U.S. patent application Ser. No. 60/686,790, filed Jun. 1, 2005, the entire disclosure of which is incorporated herein by reference.

STATEMENT REGARDING FEDERALLY SPONSORED RESEARCH

The research leading to the present invention was supported, at least in part, by National Institute of Health, Grant numbers R33 CA110130 and R01 HL70039. Thus, the U.S. government may have certain rights in the invention.

FIELD OF THE INVENTION

The present invention relates to apparatus, method and system for imaging at least a portion of a sample in n optical frequency domain, and more particularly for performing phase-resolved imaging of transparent and turbid samples using optical frequency domain imaging techniques.

BACKGROUND INFORMATION

Optical coherence tomography (“OCT”) is an imaging technique that measures the interference between a reference beam of light and a beam reflected back from a sample. A detailed system description of traditional time-domain OCT was first described in Huang et al. “Optical Coherence Tomography,” Science 254, 1178 (1991). Detailed system descriptions for spectral-domain OCT and Optical Frequency Domain Interferometry are given in International Patent Application No. PCT/US03/02349 and U.S. patent application No. 60/514,769, respectively. Polarization-sensitive OCT provides additional contrast by observing changes in the polarization state of reflected light. The first fiber-based implementation of polarization-sensitive time-domain OCT was described in Saxer et al., “High-speed fiber-based polarization-sensitive optical coherence tomography of in vivo human skin,” Opt. Lett. 25, 1355 (2000).

In one exemplary technique of OCT, cross-sectional images of biological samples can be provided with a resolution on the scale of several to tens of microns. Contrast in the conventional OCT techniques can result from differences in the optical scattering properties of various tissues, and may permit imaging of tissue microstructures. Additional biological or functional information can be obtained by applying Doppler techniques to measure spatially-localized motion in the sample. These exemplary techniques, which can be referred to as Color Doppler OCT or Optical Doppler Tomography, have been used for imaging blood flow in skin, retina, esophagus, etc. Simultaneous imaging of tissue microstructure and blood flow can significantly enhance the diagnostic utility of OCT. Initial Doppler OCT measurements were performed with time-domain OCT (TD-OCT) systems, an example of which is shown in FIG. 1B.

Recently, it has been demonstrated that Fourier-Domain OCT (FD-OCT) provides significantly improved sensitivity, enabling high-speed imaging. FD-OCT has been implemented in two configurations, spectral-domain OCT (“SD-OCT”) and optical frequency domain imaging (“OFDI”). In SD-OCT, a spectrometer is used to record spectral fringes that result from the interference of a reference beam with light reflected from a sample. In OFDI, a narrowband wavelength-swept source and a single detector are used to record the same interferogram. Doppler imaging has been demonstrated recently in SD-OCT systems. An example of a Doppler SD-OCT system is shown in FIG. 1C. Doppler imaging using OFDI technique has not been demonstrated to our knowledge. OFDI procedure, however, may become the preferred imaging modality for several applications since it is less prone to motion artifacts associated with endoscopy and can provide a significantly larger depth range. Continued development of wavelength-swept laser sources promises further improvements in imaging speed and resolution. These advantages are compelling in several OCT applications, including Barrett's esophagus screening and coronary imaging. As such, flow imaging in many applications may require the development of phase-resolved OFDI.

Convention OCT systems and techniques create images based on the magnitude of the reflectivity as a function of depth. Additional information can be obtained by examining a phase of the reflectivity of the signal. Typically, a phase information of a signal can be meaningful when compared to another phase of the signal. This phase can be another measurement of the phase at a different depth or a measurement of phase at the same depth from a successive depth scan. Regardless of the exact implementation, the sensitivity of the image constructed from the phase measurements can be a function of the noise on the individual phase measurements and the repeatability of phase measurements.

In phase-resolved Doppler OFDI, it is possible for synchronization errors to induce spurious measurements of the interference fringe phases, resulting in a reduced performance. These synchronization errors can be referred to hereafter as timing-induced phase errors.

OBJECTS AND SUMMARY OF EXEMPLARY EMBODIMENTS

To address and/or overcome the above-described problems and/or deficiencies, exemplary systems, methods and apparatus are provided for reducing the effect of the timing-induced phase errors. For example, in certain conventional methods, additional optical signals are generated and used to measure timing-induced errors so that they can be removed from the measured image. In other techniques, improved synchronization schemes can be presented to reduce the magnitude of the timing-induced phase noise directly.

According to the present invention, exemplary systems, methods and apparatus are provided for facilitating high-sensitivity depth-resolved phase measurements using an exemplary OFDI system. For example, a measurement of the phase can be used to measure blood flow and other motion in a turbid or scattering media, and can also be used to monitor optical thickness of materials over time or as a function of transverse location. Exemplary methods for achieving high-sensitivity in accordance with the exemplary embodiments of the present invention are also described herein. In one such exemplary method, a calibration signals can be generated and utilized to correct, modify and/or otherwise address timing-induced phase measurement errors. According to another exemplary embodiment of the present invention, the exemplary OFDI system may be modified to allow a simultaneous measurement of a calibration signal with the sample signal, and can also provide an exemplary procedure for correcting, modifying and/or otherwise addressing timing-induced phase measurements in the sample signal, e.g., by using such calibration signal. In still another exemplary embodiment of the present invention, the calibration signal can be generated on a separate channel and acquired independently of the sample signal. For example, the calibration signal can be similarly used to correct errors in the sample signal. Additionally, according to a further exemplary embodiment of the present invention, method, apparatus and system can be provided for reducing, adjusting and/or minimizing timing-induced phase errors.

Thus, in accordance with one exemplary embodiment of the present invention, apparatus, system and method are provided which utilize signals received from a reference and a sample. In particular, a radiation is provided which includes at least one first electro-magnetic radiation directed to the sample and at least one second electro-magnetic radiation directed to the reference. A frequency of the radiation varies over time. An interference can be detected between at least one third radiation associated with the first radiation and at least one fourth radiation associated with the second radiation. It is possible to obtain a particular signal associated with at least one phase of at least one frequency component of the interference, and compare the particular signal to at least one particular information. Further, it is possible to receive at least one portion of the radiation and provide a further radiation, such that the particular signal can be calibrated based on the further signal.

For example, the particular information can include predetermined data. It is also possible to determine a further signal associated with at least one further phase of at least one further frequency component of the interference, and the at least one particular information can be the further signal. It is also possible to determine a further signal associated with at least one further phase of at least one further frequency component of a further interference, the further interference being different from the interference.

In another exemplary embodiment of the present invention, the further interference may be based on the radiation and the second radiation. The interference and the further interference may also be obtained at different times and/or at different locations of the sample. It is further possible to generate a further signal associated with the radiation, such that the particular information can be provided based on the further signal. In addition, it is possible to receive at least one portion of the radiation and provide a further radiation, and the particular signal and/or the particular information may be associated with the further radiation. In addition, it is possible to calibrate the particular signal based on the further signal. The calibration may be based on an actual distance and/or an optical distance between the sample and a particular arrangement. Further, it is possible to calibrate the particular signal based on an actual distance and/or an optical distance between the sample and the particular arrangement.

These and other objects, features and advantages of the present invention will become apparent upon reading the following detailed description of embodiments of the invention, when taken in conjunction with the appended claims.

BRIEF DESCRIPTION OF THE DRAWINGS

Further objects, features and advantages of the invention will become apparent from the following detailed description taken in conjunction with the accompanying figures showing illustrative embodiments of the invention, in which:

FIG. 1A is a schematic diagram of an exemplary embodiment of an OFDI system in accordance with the present invention;

FIG. 1B is a schematic diagram of a conventional Doppler TD-OCT system;

FIG. 1C is a schematic diagram of an exemplary embodiment of a spectral-domain OCT system in accordance with the present invention;

FIG. 2 is a schematic diagram of an exemplary embodiment of a portion of a system according to one exemplary embodiment of the present invention in which a sample arm that is modified to provide a calibration signal for measurement of timing-induced phase errors;

FIG. 3A is an exemplary graph illustrating a representative A-line resulting from the exemplary sample arm configuration depicted in FIG. 2;

FIG. 3B is an exemplary embodiment of a method for correcting the measured phase differences using this calibration mirror signal in accordance with the present invention;

FIG. 4 is an illustration of a distal end of a conventional OFDI probe showing the existing reflections of the distal end optics which can be used as the calibration signal;

FIG. 5 is an exemplary use of a phase-resolved OFDI probe to measure the blood flow in vivo in accordance with an exemplary embodiment of the present invention;

FIG. 6 is a schematic diagram of another exemplary embodiment of an OFDI system in accordance with the present invention in which the calibration signal is generated from an interferometer that is provided external to the OFDI interferometer;

FIG. 7 is a schematic diagram of yet another exemplary embodiment of the phase-resolved OFDI system in accordance with the present invention which can use an optical generation of the sample clock to synchronize the source wavelength-sweep and acquisition electronics;

FIG. 8 is a schematic diagram of still another exemplary embodiment of the phase-resolved OFDI system in accordance with the present invention that incorporates a frequency-shifter which can be driven with a signal derived from the DAQ sample clock;

FIG. 9 is an illustration of an exemplary use of the exemplary embodiment of the phase-resolved OFDI system to measure depth-resolved changes in optical path length as a function of time;

FIG. 10 is an illustration of an exemplary use of the exemplary embodiment of the phase-resolved OFDI system to measure depth-resolved changes in optical path length as a function of transverse displacement;

FIG. 11 is an exemplary graph of measured differential phases for the calibration mirror and a stationary mirror in the sample arm before and after correction for timing-induced phase errors according to an exemplary embodiment of the present invention;

FIG. 12 is an exemplary illustration of intensity and flow images of an Intralipid phantom as measured by the exemplary embodiment of the phase-resolved Doppler OFDI system according to the present invention;

FIGS. 13A-13C are exemplary illustrations of measurements of depth resolved flow in an Intralipid sample at high flow rates such than phase differences greater than π can be induced;

FIG. 14 is an exemplary illustration of measurements of blood flow in a human skin in vivo implemented using the exemplary embodiments of the present invention; and

FIG. 15 is a block diagram of an exemplary embodiment of a system in accordance with the present invention in which the a calibration signal can be generated by a filter external to an interferometer and such signal can be combined with a balanced detection configuration.

Throughout the figures, the same reference numerals and characters, unless otherwise stated, are used to denote like features, elements, components or portions of the illustrated embodiments. Moreover, while the subject invention will now be described in detail with reference to the figures, it is done so in connection with the illustrative embodiments. It is intended that changes and modifications can be made to the described embodiments without departing from the true scope and spirit of the subject invention as defined by the appended claims.

DETAILED DESCRIPTION OF EXEMPLARY EMBODIMENTS

It should be understood that the exemplary embodiments of systems, software arrangements and methods in accordance with the present invention can be implemented in a variety of OCT systems and other systems in which signals from reference arm and sample arm can be interfered with one another to produce useful signals.

Exemplary Principle of Phase-Resolved Doppler FD-OCT

Exemplary Phase-resolved OCT techniques are described hereafter in the context of Fourier-Domain OCT, which is a category of OCT which is associated with the exemplary embodiments of the OFDI system according to the present invention. Fourier-Domain OCT can use an interference between two arms of an interferometer (e.g., a sample arm and a reference arm) to measure depth-dependent reflections in a turbid, semi-turbid and/or transparent medium. For example, an input light source is split into the reference arm and the sample arm. The light in the sample arm is directed to the sample to be imaged, and reflections from the sample are directed to a first port of an output coupler. The reference arm light is directed to the second port of the same output coupler. Spectral interference between the beams is measured by recording the interferometer output power as a function of wavelength. For a single reflection in the sample at position z where z denotes the total path-mismatch between the sample arm light and the reference arm light, the interferometer output can provided as follows: S(k=2π/λ)˜P(k)√{square root over (R(z))}cos(k2z+φ _(z))  (1) where S(k) is the output signal (optical power), P(k) is the source power at k, R(z) is the power reflectivity of the scatterer at position z, and φ_(z) is the phase of this reflection.

The reflectivity of the scatterer at position z is provided by the magnitude of the signal at frequency 2 kz. Typically, the detected signal is discretely sample, meaning that the measured signal is recorded in n discrete samples of the continuous output S(k). The discrete sampled output, S₁, is given by S _(l) ˜P _(l)√{square root over (R(z))}cos(k _(l)2z+φ _(z)), l=0 . . . (n−1)  (2) where P_(l) is the source power at k_(l). The discrete sampled output, S₁, is the discrete Fourier transformed (“DFT”) to yield the complex reflectivity profile, a_(i), as a function of depth index i, a _(i) =DFT(S _(l)).  (3)

The signal from the scatter at position z is contained in the complex reflectivity profile coefficient a_(m), where m is the depth index corresponding to position z. For example, each measurement of the discrete sampled output, S_(l), can yield a single measurement of the complex reflectivity profile as a function of depth (A-line). The motion of the scatterer at depth index i results in a change in the phase, Φ_(i), of the complex reflectivity profile coefficient a_(i) (Φ_(i)=angle(a_(i))). If the complex reflectivity profile is provided with depth index i for A-line j as a_(i,j), then a displacement of δ_(z) between A-lines j and j−1 can yield a phase change given by: Δφ_(i,j)=(φ_(i,j)−φ_(i,j-1))=2n<k>δ _(z).  (4)

The phase-resolved FD-OCT can measure motion in the scattering medium by calculating these phase differences at the sample depth for successive A-lines.

Phase-Resolved Doppler OFDI Technique

FD-OCT techniques of SD-OCT and OFDI systems and methods can both measure the discrete spectral interference S_(l). However, these techniques generally differ in the implementation of this measurement. The OFDI systems and methods can use a wavelength-swept source and a single-element photoreceiver (and/or a set of single-element photoreceivers) to record S_(l) as a function of time. FIG. 1A shows a block diagram of a exemplary embodiment of a high-speed OFDI technique for imaging at least a portion of a sample. The exemplary system shown in FIG. 1A includes three modules 85, 90 and 95, e.g., a wavelength-swept source 85, an interferometer 90, and acquisition electronics arrangement 95. The wavelength-swept source 85 (hereafter referred to as a swept source) can be provided as a ring-cavity laser. The swept source 85 can include a semiconductor optical amplifier (“SOA”) 125 as a gain element and a polygon mirror filter 101. The polygon mirror filter 101 can include a polygon mirror 100, telescope 105, diffraction grating 110, and fiber collimator 113. A polarization controller 120 may be included to optimize the laser polarization, and an output coupler 130 may provide a laser output. The output coupler nominally splits light equally between the output port 132 and laser port 131. An optical circulator 115 directs light from the laser port 131 to the polygon mirror filter 101, and directs light returning from the polygon mirror filter 101 to the polarization controller 120. As the polygon mirror 100 rotates, the wavelength reflected from the polygon mirror filter 101 sweeps in wavelength, causing the laser output to sweep in wavelength in a similar manner.

The laser output at a port 132 can therefore be wavelength swept in time. This output is input to an interferometer which includes an interferometer coupler 135 which splits the light into a reference arm port 135 a and sample arm port 135 b. The reference arm light is split by a coupler 165. The light from an output port 165 a of the coupler 165 is directed to a second circulator 145 which passes the light to a fiber Bragg grating (“FBG”) 150. The FBG 150 has a narrowband reflection at a discrete wavelength within the wavelength-sweep range of the source. As the source 85 tunes past this reflection wavelength, a reflected optical pulse is generated. This pulse can be directed by a circulator 145 to a photoreceiver 155, and such directed pulse is converted into a TTL pulse by a TTL pulse generator 160. This TTL pulse can be used as a trigger signal for data acquisition electronics 200. The light from another output port 165 b of the coupler is directed to a third circulator 170 which directs the light to a variable optical delay 210. This variable optical delay is used to path-match the interferometer 90. The return light is directed by the circulator 170 to a polarization controller 175, followed by a polarizer 180, and finally to a first port 185 a of an output coupler 185. The sample arm light at the sample arm port 135 b is directed to a fourth circulator 205, which in turn directs the light on fiber 206 to the sample to be imaged. Imaging optics 215 can focus the light on the sample, and allow for a beam translation. The light reflected from the sample is collected by the same fiber 206, and returned to the fourth circulator 205 which directs the light to a second port 185 b of the output coupler 185.

The reference arm light and the sample arm light interfere at the output coupler 185. This interference signal is detected by a photoreceiver 190 a on an output port 185 c and a photoreceiver 190 b on another output port 185 d. The signals from these photoreceivers 190 a, 190 b are subtracted in a unit 195, and directed toward an analog-to-digital (A-D) input port of a data acquisition (DAQ) board 200.

The DAQ board 200 can acquires n samples at a clock rate f_(cl), where n is predetermined. The clock signal can be internally generated in the DAQ board 200. The trigger signal from the TTL pulse generator 160 may originate from the optical pulse produced by the FBG 150. A lack of synchronization between the trigger pulse and the internal DAQ sample clock may cause a variable delay between the arrival of the trigger pulse and the first analog-to-digital conversion. This delay can be effected by one full sample clock period. Thus, if the sweep of the source is identified by k_(l)=k_(o)+a_(k)l, the sampled fringe for A-line j, S_(l,j), can be given by S _(l,j) ˜P _(l)√{square root over (R(z))}cos((k _(o) +a _(k)(l+Δ _(j))2z+φ _(z)), l=0 . . . (n−1)  (5) where Δ_(j) can vary between 0 and 1 depending on the relative timing of the sample clock and the trigger pulse. The measured phase difference between successive A-lines for a stationary scatterer at position z can be given by: Δφ_(i,j) =a _(k)2z(Δ_(j)Δ_(j-1))  (6)

The phase difference results from timing variations in the acquisition time (described by Δ_(j)) and masks phase differences resulting from sample motion, degrading the system sensitivity. Writing the Nyquist limited making imaging depth as z_(Ny)=¶/(2a_(k)) and using the normalized depth factor Γ_(z)=z/z_(Ny), the timing-induced phase errors can be described by: Δφ_(i,j)<Γ_(z)π.  (7)

The above-described procedure in accordance with the present invention indicates that timing-induced phase errors increase linearly with depth up to, e.g., a maximum value of ¶ at Γ_(.z)=1.

Correction of Timing-Induced Phase Errors through a Generation of a calibration Signal

According to one exemplary embodiment of the present invention, an additional signal can be generated by the exemplary system described herein and utilized to measure and subsequently correct for the timing-induced phase errors. For example, FIG. 2 shows an exemplary embodiment of such exemplary system in accordance with the present invention in which the sample arm is modified to facilitate the generation of the additional calibration signal. FIG. 2 shows that exemplary details of the sample arm which is after the optical circulator 205 illustrated in FIG. 1. As shown in FIG. 2, the light on a fiber 300 (i.e., the fiber 206 of FIG. 1A) can be split by a coupler 305. The light on a port 305 a can be directed to a calibration mirror 310 that may have a variable optical delay. The light on a port 305 b can be directed to the sample 320 in a similar manner to that of FIG. 1A. The interferometer output signal forwarded from the calibration mirror can be localized in depth, and the variable optical delay may be adjusted such that it is located near the maximum imaging depth (and thus does not significantly obscure the image resulting from the sample optics 320). The magnitude of the signal resulting from the variable optical delay can be adjusted such that it is significantly greater than that originating from the sample at that depth but not large enough such that significant auto-correlation noise is induced.

FIG. 3A shows a graph 350 of an exemplary A-line resulting from the exemplary system configuration illustrated in FIG. 2. A signal 360 from the calibration mirror is clearly seen among a sample (tissue) reflectance signal 355. A flow diagram of an exemplary embodiment of a method for correcting the measured phase differences using this calibration mirror signal in accordance with the present invention is shown in FIG. 3B, and provided as follows:

-   -   (1) Determine/calculate the DFT of each measured A-line,         a_(i,j)=DFT(S_(i,j))—step 370.     -   (2) Determine/calculate an angle Φ_(ij)=unwrap(angle(a_(i,j)))         where unwrap is a standard phase unwrapping algorithm which         operates along the dimension j—step 375.     -   (3) Determine/calculate a phase difference between adjacent         A-lines ΔΦ_(i,j)=Φ_(i,j)−Φ_(i,j)—step 380, and     -   (4) Determine/calculate a corrected phase difference,         ΔΦ′_(.i,j), as ΔΦ′_(i,j)=ΔΦ_(i,j)−(i/k)ΔΦ_(k,j), where k is a         depth index of the calibration mirror signal—step 385.

In a further embodiment, existing reflections from the optical probe are used as the calibration signal. FIG. 4 shows an exemplary embodiment of a distal-end optics portion of an exemplary OCT probe in accordance with the present invention. As shown in FIG. 4, light may be transmitted on a fiber 400 to a collimating lens 410, a right-angle prism 420, and finally the light 430 exits the prism to the sample 440 to be imaged 440. Discrete reflections can occur at any of the interfaces between the components, and the signal from these reflections can be utilized as a calibration signal in addition to and/or instead of the calibration mirror 310 of FIG. 2.

In a further exemplary embodiment of the system according to the present invention shown in FIG. 6, the calibration signal can be generated by a optical setup that may be external to an OFDI interferometer, and detected on a second detector that is sampled synchronously with the detector that samples the OFDI system output. In particular, a source 550 output can be split by a coupler 560 which directs a first portion of light to an OFDI interferometeric system 561 and a second portion of light to a calibration signal generator 562. The OFDI interferometeric system 561 includes couplers 565 which provide signals to the reference arm and the sample arm, and the signal in the reference arm is forwarded to a coupler 575 which then forwarded a signal therefrom to a receiver 580. In the sample arm, the signal is forwarded to another coupler 570, which also receive the signal from the coupler 575, and then provide a signal to a portion 585 of the sample 590. The calibration signal generator 562 includes a periodic optical filter 595 which facilitates a generation of a intensity modulated optical signal, that is then detected at a receiver 596. The periodic optical filter 595 can be, for example, a Fabry-perot etalon, a Mach-Zehnder interferometer, or a Michelson interferometer. The calibration signal and the OFDI signal may be detected on DAQ Channel 1 (shown as element 597) and a DAQ channel 2 device (shown as element 598), respectively. These channels can be sampled synchronously. Changes in acquisition timing may affect the phase of this calibration signal similarly to that described above when the calibration signal was generated with a mirror in the sample arm. Thus, the calibration signal detected on the DAQ channel 1 can be used to correct for timing-induced phase errors. Alternately or in addition, the calibration signal and the OFDI signal can be combined electronically, e.g., after the detection and before the analog-to-digital conversion, thus enabling both to be sampled by the same analog-to-digital channel.

In a further exemplary embodiment of the system according to the present invention which is shown in FIG. 15, a balanced detection can be effectuated by balancing a signal channel that carries interference between the sample arm and the reference arm with a non-signal carrying reference path. As previously discussed, a source 900 can provide the electro-magnetic radiation (e.g., a laser beam) to a polarization controller 905 may be included to optimize the laser polarization, and a fiber splitter 915 can receive the signal from the controller 905. The fiber splitter 915 splits light to be forwarded to different paths. In one path, for example, a reference interference to calibrate the Doppler measurements can be generated in the non-signal carrying reference, e.g., by introducing a Fabry-Perot cavity 955 in the non-signal carrying reference (as indicated in the dashed box in FIG. 15) which receives the radiation from the splitter 915. The modulation depth on the reference as a function of wavelength as introduced by the Fabry-Perot cavity 955 should be small enough as to not affect the balanced detection scheme, and strong enough to provide a good calibration signal. Then, the cavity 955 forwards the resultant radiation to a variable attenuator, and then detected by balanced detectors D₁ and D₂ (945, 950). In the other path, a polarization modulator or birefringent material 915 receives the split respective signal, and forwards it to a circulator 920 that directs one portion of the radiation to another fiber splitter 925 and splits the received signal to be forwarded to a sample arm and to a reference arm (and possibly to an optional polarizer 930), and directs light returning therefrom to a polarization controller 935, which then provides the polarized radiation to a polarization splitter 940 that also forwards the polarized split radiation to detectors D₁ and D₂ (945, 950).

Correction of Timing-Induced Phase Errors through Post-Processing

In still another exemplary embodiment of the system, arrangement and method according to the present invention, phase measurements can be corrected without the use of a calibration mirror. In this exemplary technique, a intensity-weighted linear fit can be applied to each measured phase difference line, ΔΦ_(i,j), as a function of depth index i, y_(i,j)=m_(j)i+b_(j). The corrected phase differences can be given by Δφ_(i,j)=Δφ_(i,j)−m_(j)i−b_(j).

Correction of Timing-Induced Phase Errors through the Improved Acquisition/Source Synchronization

In a further embodiment, the timing-induced phase errors are reduced by improving the synchronization between the swept source and the DAQ board. The rotational speed of the polygon mirror 100 of FIG. 1A can be determined by the frequency of a signal input to the polygon mirror driver (not shown). If such signal is generated from the same clock as the one which generates the sample clock of the DAQ board, and the polygon mirror driver can maintain adequate phase-locking between the polygon and drive signal, then the synchronization between the wavelength-sweep and the data acquisition can be achieved. In this case, the delay of Eq. 5 denoted by Δ_(j) can remain constant, and thus the timing-induced phase errors may be reduced.

In a still further exemplary embodiment of the system according to the present invention that is shown in FIG. 7, an acquisition sample clock can be generated optically by using a periodic filter such as a Fabry-Perot etalon, a Mach-Zehnder interferometer, and/or a Michelson interferometer. As shown in FIG. 7, a portion of a swept source 600 can be directed to a sample clock generator 606 which can include a periodic optical filter 610, a receiver 615 and a TTL generating circuit 620. The periodic optical filter 610 can produce an oscillating output signal which is detected at the receiver 615. The receiver output is directed to the TTL generating circuit 620 which can include voltage comparators and/or Schmitt triggers to generate a TTL pulse train. This pulse train can be input into a DAQ external sample clock input port 655 to be used as a sample clock. Because sampling can be synchronized to the laser wavelength sweep through the sample clock generator, the timing-induced noise can be reduced directly. This technique can be used separately or in combination with previously described techniques for correcting phase errors.

Applications of Phase-Resolved OFDI

In still another exemplary embodiment of the present invention, the phase-resolved OFDI system can be used to image blood flow distributions during an intravascular OFDI imaging. An exemplary device capable of imaging blood flow is shown in FIG. 5. For example, an exemplary optical probe 510 in accordance with the present invention can be placed inside an artery 520, and the imaging beam 500 can be emitted from a side of the probe 510. The depth resolved blood flow can be detected, and if the probe is rotated, a 2D map of the blood flow may be created. The end view illustrates the rotation of the imaging beam. Alternately, a forward looking probe can be provided for imaging the blood ahead of the probe 510.

In yet another exemplary embodiment of a phase-resolved OFDI system of the present invention which is shown in FIG. 8, a frequency shifter can be provided therein. For example, a frequency shifter 711 can be used to enable a doubling of the imaging depth. If the frequency shifter 711 is driven with a signal that is unsynchronized with the sampling clock, noise in the measured phase may result. In the exemplary embodiment of the system shown in FIG. 8, the frequency shifter is driven with a signal derived from the sample clock. Light is output from the source and split into a reference arm and a sample arm by the first splitter 710. The reference arm contains a frequency shifter 712 and the sample arm contains the same frequency shifter 711. Generally, only one of the frequency shifters 711, 712 can be actively driven, and the other one of the shifters 711, 712 may be used to compensate for the dispersion of the driven frequency shifter. The frequency shifter that is not driven can alternatively be a dispersion compensating element. The frequency shifter 712 in the reference arm may be driven through a signal carried on line 713 which can be derived from a DAQ sample clock output 725. This output clock 725 may be down-shifted in frequency using a “Divide by N” digital logic circuit 720, and the resulting signal can pass through an amplifier and filter stage 715 to produce a single tone on line 713. Because the drive signal for the frequency shifter may be driven by the DAQ sample clock output 725, the phase of the frequency shift may be synchronous with the sample clock, and thus does not necessarily induce additional phase noise. Various exemplary techniques in accordance with the present invention described herein can be used to correct for any residual timing-induced noise.

In a further exemplary embodiment of the phase-resolved OFDI system of the present invention, such system can be used to determine variations in the optical-path length between two points in depth as a function of time. For example, FIG. 9 illustrates an illustration of an exemplary use of the exemplary embodiment of the phase-resolved OFDI system to measure depth-resolved changes in optical path length as a function of time. This use is provided for the case of a object between a first reflective surface 805 at depth z1 and a second reflective surface 810 at depth z2. Between the reflective surfaces 805, 810 is an object to be imaged 815. The reflective surfaces 805, 810 can either be fixed external surfaces such as glass slides or structural features of the biological object itself. By monitoring the phase of the signals due to the reflections off these surfaces 805, 810, the optical path length between z1 and z2 can be monitored, allowing changes in the object to be monitored. These potential changes can include variations in the object index of refraction with time, or expansion of the object in time. In the illustration of FIG. 9, the imaging beam can be held stationary, and used to monitor changes at a fixed transverse point over time.

A further exemplary illustration of an exemplary use of the exemplary embodiment of the phase-resolved OFDI system to measure depth-resolved changes in an optical path length as a function of transverse displacement. An imaging beam 850 is directed toward a sample object located between a first reflective surface 855 and a second reflective surface 865. The optical path length difference between these reflective surfaces 855, 865 is known by the design of the system and/or a prior measurement before an object 860 is inserted. The phase of the reflective surfaces 855, 865 can be measured as a function of a transverse displacement of the imaging beam 850, and the variations in the transverse optical path length of the object 860 can be found by comparing the phase difference between the two signals with the phase difference as measured and/or known previously without the object being present. For example, if the system is has enough stability, the first surface reflectance at z1 may not be needed.

It can be appreciated by those skilled in the art that one of the embodiments can be used in combination with other exemplary embodiments described herein to provide various phase-resolved OFDI systems with reduced timing-induced phase noise in accordance with the present invention.

EXAMPLE

The exemplary embodiment(s) of the system, apparatus and method according to the present invention have been verified as follows:

The phase differences between successive A-lines were measured in the exemplary configuration of FIG. 2 with a stationary sample mirror in the sample arm. FIG. 11 an exemplary graph 1010 of measured differential phases for the calibration mirror and a stationary mirror in the sample arm before and after a correction for timing-induced phase errors according to an exemplary embodiment of the present invention. The calibration mirror signal 1015 and the uncorrected sample signal 1020 show phase errors of the magnitude predicted by Eq. 7. The corrected phase measurements 1025 show substantial reduction in spurious phase differences.

FIG. 12 shows an illustration of measurements taken of Intralipid (scattering liquid) flow through a tube immersed in the same stationary Intralipid. Both the OFDI intensity image 1030 and the flow image 1035 are shown. The presence of flow is clearly detected by the phase-resolved OFDI system of an exemplary embodiment of the present invention.

FIGS. 13A-13C show illustrations of a measurement of Intralipid flow through a tube in which the flow rate is large enough that phase differences greater than if are induced. In the graph of FIG. 13A, the depth resolved flow 1040 as a function of time is plotted. In the graph of FIG. 13B, the measured phase differences 1045 are unwrapped to remove discontinuities of 2π such that the large flow profile can be measured. FIG. 13C shows the graph of the unwrapped flow profile 1050 at time T as marked in FIGS. 13( a) and 13(b). This shows the ability of phase-resolved OFDI to measure large flow rates that induced phase differences greater than π without the deleterious effects of fringe washout.

FIG. 14 shows an illustration of a phase-resolved measurement of blood flow in vivo near the nail bed of a human finger. Vessels are clearly shown in the flow image 1055 that do not appear in the intensity image 1060.

The foregoing merely illustrates the principles of the invention. Various modifications and alterations to the described embodiments will be apparent to those skilled in the art in view of the teachings herein. Indeed, the arrangements, systems and methods according to the exemplary embodiments of the present invention can be used with and/or implement any OCT system, OFDI system, SD-OCT system or other imaging systems, and for example with those described in International Patent Application PCT/US2004/029148, filed Sep. 8, 2004 which published as International Patent Publication No. WO 2005/047813 on May 26, 2005, U.S. patent application Ser. No. 11/266,779, filed Nov. 2, 2005 which published as U.S. Patent Publication No. 2006/0093276 on May 4, 2006, and U.S. patent application Ser. No. 10/501,276, filed Jul. 9, 2004 which published as U.S. Patent Publication No. 20050018201 on Jan. 27, 2005, the disclosures of which are incorporated by reference herein in their entireties. It will thus be appreciated that those skilled in the art will be able to devise numerous systems, arrangements and methods which, although not explicitly shown or described herein, embody the principles of the invention and are thus within the spirit and scope of the present invention. In addition, to the extent that the prior art knowledge has not been explicitly incorporated by reference herein above, it is explicitly being incorporated herein in its entirety. All publications referenced herein above are incorporated herein by reference in their entireties. 

What is claimed is:
 1. An apparatus comprising: at least one hardware first arrangement including a source which provides a radiation which includes at least one first electro-magnetic radiation directed to a sample and at least one second electro-magnetic radiation directed to a reference, wherein a frequency of the radiation provided by the at least one first arrangement varies over time; and at least one hardware second arrangement which includes a detector that detects a particular interference signal between at least one third radiation associated with the at least one first radiation and at least one fourth radiation associated with the at least one second radiation, wherein that particular interference signal is detected by the detector across a first radiation frequency range, wherein the at least one second arrangement obtains at least one first phase of at least one frequency component of the particular interference signal, and wherein the at least one second arrangement includes a hardware computing arrangement which compares the at least one first phase with at least one second phase of at least one frequency component of a previously-detected interference signal which is detected by the detector across a second radiation frequency range, and wherein the hardware computing arrangement generates at least one image of at least one portion of the sample that substantially excludes information caused by a difference between the first and second radiation frequency ranges based on the comparison and as function of the interference signals.
 2. The apparatus according to claim 1, wherein the at least one second arrangement is configured to determine a signal associated with at least one further phase of at least one further frequency component of a further interference signal, and wherein the at least one second phase is associated with the signal.
 3. The apparatus according to claim 1, wherein the at least one second arrangement is configured to determine a signal associated with at least one further phase of a further interference signal, the further interference signal being different from the particular and previously-detected interferences.
 4. The apparatus according to claim 3, wherein the at least one second arrangement obtains the particular and previously-detected interference signals at different times.
 5. The apparatus according to claim 3, wherein the at least one second arrangement obtains the particular and previously-detected interference signals at different locations of the sample.
 6. The apparatus according to claim 1, comprising a further reference configure to receive at least one portion of the radiation and provide a further radiation so as to generate a signal, wherein at least one of the signal or the at least second phase is associated with the further radiation.
 7. The apparatus according to claim 6, wherein the at least one second arrangement is configured to calibrate the at least one first phase based on the signal.
 8. The apparatus according to claim 7, wherein the calibration is based on at least one of an actual distance or an optical distance between the sample and the first arrangement.
 9. The apparatus according to claim 1, wherein the at least one second arrangement is configured to calibrate the signal based on at least one of an actual distance or an optical distance between the sample and the first arrangement.
 10. The apparatus according to claim 1, further comprising: at least one hardware third arrangement including a further reference which receives at least one portion of the radiation and provides a further radiation which is at least partially based on the radiation, wherein the hardware computing arrangement induces a phase shift of the particular phase based on the further radiation, and wherein the further radiation is independent of any property of the sample.
 11. The apparatus according to claim 10, wherein the at least one hardware third arrangement is provided in the sample arm.
 12. The method according to claim 10, wherein the reference includes a mirror that is positioned to directly reflect the at least one portion to the at least one second arrangement.
 13. The apparatus according to claim 10, wherein the further radiation is distinct from the at least one second radiation and the at least one fourth radiation.
 14. The apparatus according to claim 10, wherein the at least one first arrangement includes a single laser source which generates the radiation.
 15. The apparatus according to claim 10, wherein the computing arrangement induces the phase shift at least one of digitally or mathematically.
 16. The apparatus according to claim 1, wherein the at least one second arrangement detects a further signal corresponding to a further interference signal between the at least one second and third radiations, and wherein the further signal is associated with at least one phase of at least one frequency component of an additional interference associated with the further signal.
 17. The apparatus according to claim 1, wherein the at least one second arrangement determines image information based on the comparison between the first and second phases.
 18. A method comprising: providing a radiation which includes at least one first electro-magnetic radiation directed to a sample and at least one second electro-magnetic radiation directed to a reference, wherein a frequency of the radiation varies over time; detecting a particular interference signal between at least one third radiation associated with the at least one first radiation and at least one fourth radiation associated with the at least one second radiation, wherein the particular interference signal is detected across a first radiation frequency range; obtaining at least one first phase of at least one frequency component of the particular interference signal; and with a hardware computer arrangement, comparing the at least one first phase with at least one second phase of at least one frequency component of a previously-detected interference signal which is detected by across a second radiation frequency range, and with the hardware computer arrangement, generating at least one image of at least one portion of the sample that substantially excludes information caused by a difference between the first and second radiation frequency ranges based on the comparison and as function of the interference signals.
 19. The method according to claim 18, further comprising determining a signal associated with at least one further phase of a further interference signal, the further interference signal being different from the particular and previously-detected interference signals.
 20. The method according to claim 18, further comprising: determining a signal associated with at least one further phase of a further interference signal, the further interference signal being different from the particular and previously-detected interference signals.
 21. The method according to claim 20, further comprising obtaining the particular and previously-detected interference signals at different times.
 22. The method according to claim 20, further comprising obtaining the particular and previously-detected interference signals at different locations of the sample.
 23. The method according to claim 18, further comprising: receiving at least one portion of the radiation and provide a further radiation so as to generate a signal, wherein at least one of the signal or the at least second phase is associated with the further radiation.
 24. The method according to claim 23, further comprising: calibrating the at least one first phase based on the signal.
 25. The method according to claim 24, wherein the calibration is based on at least one of an actual distance or an optical distance between the sample and a particular arrangement.
 26. The method according to claim 18, further comprising: calibrating the second signal based on at least one of an actual distance or an optical distance between the sample and a particular arrangement.
 27. The method according to claim 18, further comprising: receiving at least one portion of the radiation and provide a further radiation which is at least partially based on the radiation; and inducing a phase shift of the particular phase based on the further radiation, and wherein the further radiation is independent of any property of the sample.
 28. The method according to claim 27, wherein the at least one portion of the radiation is received in the sample arm.
 29. The method according to claim 27, wherein the further radiation is distinct from the at least one second radiation and the at least one fourth radiation.
 30. The method according to claim 27, wherein the radiation is generated by a single laser source.
 31. The method according to claim 27, wherein the phase shift is induced at least one of digitally or mathematically.
 32. The method according to claim 18, further comprising detecting a further signal corresponding to a further interference signal between the at least one second and third radiations, and wherein the signal is associated with at least one phase of at least one frequency component of an additional interference signal associated with the further signal.
 33. The method according to claim 18, further comprising imaging information based on the comparison between the first and second phases.
 34. A system comprising: at least one hardware first arrangement including a detector which detects an interference signal between at least one first radiation associated with a first split portion of a radiation received from a sample and a second split portion of the radiation received from a reference, wherein a frequency of the radiation varies over time, wherein the interference signal is detected by the detector across a first radiation frequency range, wherein the at least one arrangement obtains at least one first phase of at least one frequency component of the interference signal, wherein the at least one detector arrangement includes a one hardware computing second arrangement which compares the at least one first phase with at least one second phase of at least one frequency component of a previously-detected interference signal which is detected by the detector across a second radiation frequency range, and wherein the one hardware computing second arrangement generates at least one image of at least one portion of the sample that substantially excludes information caused by a difference between the first and second radiation frequency ranges based on the comparison and as function of the interference signals.
 35. The apparatus according to claim 34, wherein the at least one hardware first arrangement detects a further signal corresponding to a further interference signal between the first and second split portions of the radiation, and wherein the previously-detected interference signal is associated with at least one phase of at least one frequency component of an interference signal associated with the further signal. 